Question

use implicit diff y^2=(x^2-4) / (x^2-4)

Answer 1

the derivative of X is 1
but the catch is, the derivative of y is DY/DX
so, for example, when you derive x² you would get 2x TIMES the derivative of x which is just 1.
when you derive Y², you get 2y TIMES the derivative of y which is dy/dx
so, 2y(dy/dx)...
now, to the problem....
to derive y², i jsut did that - 2y(dy/dx)
as for the right side, they cancel out to just 1.
derivative of any constant is 0
so you have 2y(dy/dx) = 0
solve for dy/dx to get dy/dx = 0/2y which is just 0
ur answer is dy/dx = 0